All men must die

Question: One day, an alien comes to Earth. Every day, each alien does one of four things, each with equal probability to: (i) Kill himself (ii) Do nothing (iii) Split himself into two aliens (while killing himself) (iv) split himself into three aliens (while killing himself) What is the probability that the alien species eventually dies out … Continue reading All men must die

Dodge ball

Question: You are playing a game of dodge ball with two other people, John and Tom. You're standing in a triangle and you all take turns throwing at one of the others of your choosing until there is only one person remaining. You have a 30 percent chance of hitting someone you aim at, John … Continue reading Dodge ball

Two pills

Question: A man has to take two pills each day, at the exact same time or he will die. If he only takes one or he takes two of the same pill he will die. Both medications look the same and are the same weight. One day he drops both open pill bottles scattering the … Continue reading Two pills